Finding the Third Proportional to 314,906 and 678,196

Step by Step Solution

1. Step 1: Write the proportion equation
   314,906 : 678,196 = 678,196 : x
2. Step 2: Convert to fraction form
   314,906/678,196 = 678,196/x
3. Step 3: Cross multiply
   314,906x = 678,196 × 678,196
4. Step 4: Simplify right side
   314,906x = 459,949,814,416
5. Step 5: Solve for x
   x = 459,949,814,416/314,906
6. Step 6: Final answer
   x = 1,460,594.00